A frontal view on Lefschetz fibrations I

Augmentations and Legendrians at the IAS
Topic:A frontal view on Lefschetz fibrations I
Speaker:Emmy Murphy
Affiliation:Massachusetts Institute of Technology
Date:Friday, February 12
Time/Room:10:40am - 11:40am/S-101
Video Link:https://video.ias.edu/augmentslegends/2016/0212-Murphy

In this series of two talks we will discuss Weinstein structures endowed with a Lefschetz fibration in terms of the Legendrian front projection. The main focus is on Weinstein manifolds which admit a Weinstein Lefschetz fibration with an $A_k$-fibre; this provides a large class of Weinstein structures ranging from flexible Weinstein manifolds to rich rigid examples. In particular, we will describe the computation of their symplectic homologies and discuss its implications to Legendrian submanifolds and their Lagrangian fillings.